relation: http://acta.bibl.u-szeged.hu/78339/
title: Ground state sign-changing solutions for critical Choquard equations with steep well potential
creator:  Li Yong-Yong
creator:  Li Gui-Dong
creator:  Tang Chun-Lei
subject: 01. Természettudományok
subject: 01.01. Matematika
description: In this paper, we study sign-changing solution of the Choquard type equation −∆u + (λV(x) + 1) u = Iα ∗ |u| 2 |u| 2 α−2u + µ|u| p−2u in R N, where N ≥ 3, α ∈ ((N − 4) +, N), Iα is a Riesz potential, p ∈ 2 2N N−2 , 2∗ := N+α N−2 is the upper critical exponent in terms of the Hardy–Littlewood–Sobolev inequality, µ > 0, λ > 0, V ∈ C(RN, R) is nonnegative and has a potential well. By combining the variational methods and sign-changing Nehari manifold, we prove the existence and some properties of ground state sign-changing solution for λ, µ large enough. Further, we verify the asymptotic behaviour of ground state sign-changing solutions as λ → +∞ and µ → +∞, respectivel.
date: 2022
type: Folyóirat
type: NonPeerReviewed
format: full
language: hu
identifier: http://acta.bibl.u-szeged.hu/78339/1/ejqtde_2022_054.pdf
identifier:    Li Yong-Yong;  Li Gui-Dong;  Tang Chun-Lei:   Ground state sign-changing solutions for critical Choquard equations with steep well potential.  (2022)   
language: eng